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Simplifying 5x + -2(3 + -4x) = 3(x + -3) + -57 5x + (3 * -2 + -4x * -2) = 3(x + -3) + -57 5x + (-6 + 8x) = 3(x + -3) + -57 Reorder the terms: -6 + 5x + 8x = 3(x + -3) + -57 Combine like terms: 5x + 8x = 13x -6 + 13x = 3(x + -3) + -57 Reorder the terms: -6 + 13x = 3(-3 + x) + -57 -6 + 13x = (-3 * 3 + x * 3) + -57 -6 + 13x = (-9 + 3x) + -57 Reorder the terms: -6 + 13x = -9 + -57 + 3x Combine like terms: -9 + -57 = -66 -6 + 13x = -66 + 3x Solving -6 + 13x = -66 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 13x + -3x = -66 + 3x + -3x Combine like terms: 13x + -3x = 10x -6 + 10x = -66 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 10x = -66 + 0 -6 + 10x = -66 Add '6' to each side of the equation. -6 + 6 + 10x = -66 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -66 + 6 10x = -66 + 6 Combine like terms: -66 + 6 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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